Dynamic stability response of truncated nanocomposite conical shell with magnetostrictive face sheets utilizing higher order theory of sandwich panels

Keshtegar, Behrooz; Farrokhian, A.; Kolahchi, Reza; Nguyen-Thoi, T.

doi:10.1016/j.euromechsol.2020.104010

Cited by 54 publications

(11 citation statements)

References 34 publications

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“…In this part, by substituting Equation (44) into Equation (43) and setting the factors of cosine and sine-as well as the sum of constant terms to zero-we havěˇˇˇˆr…”

Section: Solving Proceduresmentioning

confidence: 99%

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Dynamic Stability Analysis in Hybrid Nanocomposite Polymer Beams Reinforced by Carbon Fibers and Carbon Nanotubes

et al. 2020

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The objective of this innovative research is assessment of dynamic stability for a hybrid nanocomposite polymer beam. The considered beam formed by multiphase nanocomposite, including polymer–carbon nanotubes (CNTs)–carbon fibers (CFs). Hence, as to compute the effective material characteristics related to multiphase nanocomposite layers, the Halpin–Tsai model, as well as micromechanics equations are employed. To model the structure realistically, exponential shear deformation beam theory (ESDBT) is applied and using energy methods, governing equations are achieved. Moreover, differential quadrature method (DQM) as well as Bolotin procedures are used for solving the obtained governing equations and the dynamic instability region (DIR) relative to the beam is determined. To extend this novel research, various parameters pinpointing the influences of CNT volume fraction, CFs volume percent, boundary edges as well as the structure’s geometric variables on the dynamic behavior of the beam are presented. The results were validated with the theoretical and experimental results of other published papers. The outcomes reveal that increment of volume fraction of CNT is able to shift DIR to more amounts of frequency. Further, rise of carbon fibers volume percent leads to increase the excitation frequency of this structure.

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“…In this part, by substituting Equation (44) into Equation (43) and setting the factors of cosine and sine-as well as the sum of constant terms to zero-we havěˇˇˇˆr…”

Section: Solving Proceduresmentioning

confidence: 99%

“…Malikan et al [ 43 ] studied torsional stability of a nanocomposite shell subjected to magnetic field utilizing nonlocal strain gradient theory. Keshtegar et al [ 44 ] presented dynamic stability of nanocomposite-truncated sandwich conical shells based on differential cubature method.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Stability Analysis in Hybrid Nanocomposite Polymer Beams Reinforced by Carbon Fibers and Carbon Nanotubes

et al. 2020

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“…[ 30 ] Additionally, the mechanical behavior of carbon nanotube‐reinforced composite and graphene‐reinforced composite conical shell was also studied by Hajmohammad. [ 31‐33 ] Nam et al [ 34,35 ] proposed the spiral stiffener reinforced method for the FGM cylindrical shells. By improving the Lekhnitskii's smeared stiffeners technique in the framework of the Donnell shell theory with von Kármán–Donnell‐type geometrical nonlinearity, the equilibrium equations are established, then, the three‐term solution of deflection and the Galerkin method were applied to obtain the critical buckling torsion and the postbuckling strength of shells.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear torsional buckling of functionally graded graphene‐reinforced composite (FG‐GRC) laminated cylindrical shells stiffened by FG‐GRC laminated stiffeners in thermal environment

et al. 2021

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The main aim of this article is to establish an analytical approach on the torsional postbuckling for functionally graded graphene‐reinforced composite (FG‐GRC) laminated circular cylindrical shells stiffened by FG‐GRC laminated stiffener system in thermal environment and subjected to torsion loads. The polymer matrixes of shell skin and stiffeners are reinforced by graphene with two graphene reinforcement directions, namely, zigzag and armchair directions. The anisotropic smeared stiffener technique for FG‐GRC stiffener system is used, and the governing equations are established based on the Donnell shell theory with von Kármán–Donnell‐type geometrical nonlinearity and the Airy's stress function. A three‐state solution of deflection is chosen and Galerkin's method is applied, the explicit forms of critical buckling torsion and expression of load‐deflection postbuckling curves relation are obtained. The effects of graphene‐reinforced composite laminated stiffeners, uniformly distributed temperature, the volume fraction of graphene of stiffened shell on the nonlinear torsional buckling behavior are numerically investigated.

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“…The nonlinear dynamics of functionally graded CNTs reinforced composite beams and shells is treated in literature. 20–35 The dynamic behavior of the nanocomposite conical shell is studied in literature. 28,29…”

Section: Introductionmentioning

confidence: 99%

Buckling of functionally graded carbon nanotubes reinforced composite joined spherical-cylindrical-spherical thin-walled structure

Аврамов

Myrzaliyev

Uspensky

et al. 2021

Proceedings of the Institution of Mechanical Engineers, Part C:

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Functionally graded carbon nanotubes reinforced composite joined spherical-cylindrical-spherical thin-walled structure under the actions of axial and lateral distributed loads is considered. The static buckling of this structure is analyzed numerically. The Ritz method is used to derive the governing equations of the joined thin-walled structure buckling. Higher-order shear deformation theory is applied to describe the structure stress-strain state. The continuity conditions of the spherical-cylinder junction are derived. The displacements projections are chosen in the special form to satisfy these continuity conditions. The dependences of the buckling axial load on the CNTs distributions, CNTs volume fractions are analyzed numerically.

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Dynamic stability response of truncated nanocomposite conical shell with magnetostrictive face sheets utilizing higher order theory of sandwich panels

Cited by 54 publications

References 34 publications

Dynamic Stability Analysis in Hybrid Nanocomposite Polymer Beams Reinforced by Carbon Fibers and Carbon Nanotubes

Dynamic Stability Analysis in Hybrid Nanocomposite Polymer Beams Reinforced by Carbon Fibers and Carbon Nanotubes

Nonlinear torsional buckling of functionally graded graphene‐reinforced composite (FG‐GRC) laminated cylindrical shells stiffened by FG‐GRC laminated stiffeners in thermal environment

Buckling of functionally graded carbon nanotubes reinforced composite joined spherical-cylindrical-spherical thin-walled structure

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